Least Common Multiple of 21/86, 19/96, 90/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/86, 19/96, 90/476 quickly i.e. 5985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/86, 19/96, 90/476 is 5985.

LCM(21/86, 19/96, 90/476) = 5985

LCM of 21/86, 19/96, 90/476

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 21/86,19/96,90/476

Given numbers are 21/86,19/96,90/476

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 21,19,90

Least Common Multiple of Numerators i.e. LCM of 21,19,90 is 11970.

GCF of Denominators means GCF of 86,96,476 as per the given fractions.

GCF of 86,96,476 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,19,90

LCM of Fractions 21/86,19/96,90/476 is 5985

3 21, 19, 90
7, 19, 30

∴ So the LCM of the given numbers is 3 x 7 x 19 x 30 = 11970

Least Common Multiple of 21,19,90 with GCF Formula

Least Common Multiple of 21,19,90 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 21,19,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,19,90) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,19,90) x common factors =1 x 3 = 3

LCM(21,19,90) = ( 21 × 19 × 90 ) / 3

LCM(21,19,90) = 35910 / 3

LCM(21,19,90) = 11970


Lets's calculate GCF of 86,96,476

2 86, 96, 476
43, 48, 238

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11970/2

Therefore the LCM of Fractions 21/86,19/96,90/476 is 5985

Greatest Common Factor of 86,96,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,96,476 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 86,96,476 . The biggest common factor number is the GCF number.
So the greatest common factor 86,96,476 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 21/86, 19/96, 90/476

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 21/86, 19/96, 90/476?

Answer: LCM of Numerators as per given numbers 21/86, 19/96, 90/476 is

LCM of Numerators i.e. for 21,19,90 is 11970

GCF of denominators i.e. for 86,96,476 is 2.

Thus, LCM of Fractions is 5985.Finally, LCM of Fractions for 21/86, 19/96, 90/476 is 5985.